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Proof step 10 from proof inv-gc (previous step)

# kx = # ax, fs = fs0[ax, fs0[ri[kx]]], ax.toSet ∩ log0.toSet = ∅, fo.inodes?, ro.inodes?, log-cons(log0, fs0), new(ax, fs0), ri-cons(ri, fs0), ri-inj(fi), ri-inj(ri), kx.toSet ⊆ dom ri, ¬ dups(kx), ¬ dups(ax) ⊦ ⟪aubifs_core_gc_drop#(ri[kx, ax], log0 + ax; fs); boolvar := ?⟫ (log-cons(log0, fs) ∧ log-cons(ax, fs) ∧ ri-cons(ri[kx, ax], fs))

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 11:
# kx = # ax, fs = fs0[ax, fs0[ri0[kx]]], log = log0 + ax, ri = ri0[kx, ax], ax.toSet ∩ log0.toSet = ∅, ro.inodes?, fo.inodes?, log-cons(log0, fs0), new(ax, fs0), ri-cons(ri0, fs0), ri-inj(ri0), ri-inj(fi), kx.toSet ⊆ dom ri0 ⊦ ⟪choose as with as ∩ range ri = ∅ ∧ log.toSet ∩ as = ∅ in fs := fs \ as; boolvar := ?⟫ (log-cons(log0, fs) ∧ log-cons(ax, fs) ∧ ri-cons(ri0[kx, ax], fs)), dups(kx), dups(ax)

Rule argument

pos: right 1

Additional information

Used simplifier rules: gc-drop: ⊦ ;